The buckling of uniform columns under various loading adn boundary conditions is a well-studied topic. As far as the columns with variable cross section, several exact solutions are available, in terms of logarthmic and trigonometric [1,2], Bessel [3,4], and Lommel [5-7] funcions. An exact solution in terms of series for buckling load for variable cross-section columns with variable axial foces was furnished by Eisenberger [8]. The closed-form solutions are extremely rare. Two cases will be described as follows.